Circumscribed Cylinder Radius of Cube given Insphere Radius Calculator

✖Insphere Radius of Cube is the radius of the sphere that is contained by the Cube in such a way that all the faces just touching the sphere.ⓘ Insphere Radius of Cube [r_i]

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✖Circumscribed Cylinder Radius of Cube is the radius of the cylinder that contains the Cube in such a way that all the vertices of the Cube are touching the cylinder.ⓘ Circumscribed Cylinder Radius of Cube given Insphere Radius [r_c(Cylinder)]

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Circumscribed Cylinder Radius of Cube given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumscribed Cylinder Radius of Cube = sqrt(2)*Insphere Radius of Cube
r_c(Cylinder) = sqrt(2)*r_i
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Circumscribed Cylinder Radius of Cube - (Measured in Meter) - Circumscribed Cylinder Radius of Cube is the radius of the cylinder that contains the Cube in such a way that all the vertices of the Cube are touching the cylinder.
Insphere Radius of Cube - (Measured in Meter) - Insphere Radius of Cube is the radius of the sphere that is contained by the Cube in such a way that all the faces just touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Cube: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c(Cylinder) = sqrt(2)*r_i --> sqrt(2)*5

Evaluating ... ...

r_c(Cylinder) = 7.07106781186548

STEP 3: Convert Result to Output's Unit

7.07106781186548 Meter --> No Conversion Required

FINAL ANSWER

7.07106781186548 ≈ 7.071068 Meter <-- Circumscribed Cylinder Radius of Cube

(Calculation completed in 00.004 seconds)

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Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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LaTeX Go Circumscribed Cylinder Radius of Cube = Face Perimeter of Cube/(4*sqrt(2))

Circumscribed Cylinder Radius of Cube given Lateral Surface Area

LaTeX Go Inscribed Cylinder Radius of Cube = sqrt(Lateral Surface Area of Cube/8)

Circumscribed Cylinder Radius of Cube

LaTeX Go Circumscribed Cylinder Radius of Cube = Edge Length of Cube/sqrt(2)

Circumscribed Cylinder Radius of Cube given Face Area

LaTeX Go Circumscribed Cylinder Radius of Cube = sqrt(Face Area of Cube/2)

Circumscribed Cylinder Radius of Cube given Insphere Radius Formula

LaTeX Go

Circumscribed Cylinder Radius of Cube = sqrt(2)*Insphere Radius of Cube
r_c(Cylinder) = sqrt(2)*r_i

What is a Cube?

A Cube is a symmetric, closed three dimensional shape having 6 identical square shaped faces. It has 8 corners, 12 edges and 6 faces. And each corner is shared by 3 faces and each edge is shared by 2 faces of the Cube. In other way, a rectangular box in which length, breadth and height are numerically equal is called a Cube. That equal measurement is called the edge length of the Cube. Also Cube is a Platonic solid.

How to Calculate Circumscribed Cylinder Radius of Cube given Insphere Radius?

Circumscribed Cylinder Radius of Cube given Insphere Radius calculator uses Circumscribed Cylinder Radius of Cube = sqrt(2)*Insphere Radius of Cube to calculate the Circumscribed Cylinder Radius of Cube, The Circumscribed Cylinder Radius of Cube given Insphere Radius formula is defined as the radius of the cylinder that contains the Cube in such a way that all the vertices of the Cube are touching the cylinder and is calculated using the insphere radius of the Cube. Circumscribed Cylinder Radius of Cube is denoted by r_c(Cylinder) symbol.

How to calculate Circumscribed Cylinder Radius of Cube given Insphere Radius using this online calculator? To use this online calculator for Circumscribed Cylinder Radius of Cube given Insphere Radius, enter Insphere Radius of Cube (r_i) and hit the calculate button. Here is how the Circumscribed Cylinder Radius of Cube given Insphere Radius calculation can be explained with given input values -> 7.071068 = sqrt(2)*5.

FAQ

What is Circumscribed Cylinder Radius of Cube given Insphere Radius?

The Circumscribed Cylinder Radius of Cube given Insphere Radius formula is defined as the radius of the cylinder that contains the Cube in such a way that all the vertices of the Cube are touching the cylinder and is calculated using the insphere radius of the Cube and is represented as r_c(Cylinder) = sqrt(2)*r_i or Circumscribed Cylinder Radius of Cube = sqrt(2)*Insphere Radius of Cube. Insphere Radius of Cube is the radius of the sphere that is contained by the Cube in such a way that all the faces just touching the sphere.

How to calculate Circumscribed Cylinder Radius of Cube given Insphere Radius?

The Circumscribed Cylinder Radius of Cube given Insphere Radius formula is defined as the radius of the cylinder that contains the Cube in such a way that all the vertices of the Cube are touching the cylinder and is calculated using the insphere radius of the Cube is calculated using Circumscribed Cylinder Radius of Cube = sqrt(2)*Insphere Radius of Cube. To calculate Circumscribed Cylinder Radius of Cube given Insphere Radius, you need Insphere Radius of Cube (r_i). With our tool, you need to enter the respective value for Insphere Radius of Cube and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Circumscribed Cylinder Radius of Cube?

In this formula, Circumscribed Cylinder Radius of Cube uses Insphere Radius of Cube. We can use 3 other way(s) to calculate the same, which is/are as follows -

Circumscribed Cylinder Radius of Cube = Edge Length of Cube/sqrt(2)
Circumscribed Cylinder Radius of Cube = sqrt(Face Area of Cube/2)
Circumscribed Cylinder Radius of Cube = Face Perimeter of Cube/(4*sqrt(2))

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